Optical constants

Refractive index of H-ZBAF52 (CDGM)

H-ZBAF52: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.67003
Extinction coefficient k
5.17206e-08
Permittivity ε1
2.78899
Permittivity ε2
1.72749e-07
Absorption coefficient α
0.0110609 cm⁻¹
Penetration depth δ = λ/(2πk)
1.80817e+09 nm
Abbe number Vd
47.195
Chromatic dispersion dn/dλ
-0.0726421 µm⁻¹
Group index ng
1.71271
Group velocity dispersion
134.978 fs²/mm
Dispersion parameter D
-736.378 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# H-ZBAF52 (CDGM): H-ZBAF52
cdgm_h_zbaf52 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZBAF52", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zbaf52.range_nm)  # (365, 2325) nm
eps = cdgm_h_zbaf52.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.51688354λ2λ2−0.00857006565+0.211371553λ2λ2−0.0370160061+1.35763017λ2λ2−144.349229

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.51688354
C30.00857006565
C40.211371553
C50.0370160061
C61.35763017
C7144.349229

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.4e-06 1.49e-08 -3.46e-11 6.98e-07 6.04e-10 0.212
nd
1.670030
Vd
47.195060
glass code
670472
density
value: 3570
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
-0.002
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.86e-06 K⁻¹ at 633 nm, dn/dT = 1.99e-06 K⁻¹ at 1310 nm, dn/dT = 1.92e-06 K⁻¹ at 1550 nm

References

Cite

CDGM Zemax catalog 2022-06 (obtained from http://www.cdgmgd.com); See also CDGM optical glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 425 wavelengths, the same grid as the API and the library
H-ZBAF52 (CDGM), H-ZBAF52: n and k versus wavelength
λ (µm)nk
0.3651.7066379.903100e-07
0.3666981.7060298.771423e-07
0.3684031.7054287.634483e-07
0.371.7048756.570200e-07
0.3701171.7048356.536171e-07
0.3718381.7042496.035187e-07
0.3735681.7036715.531872e-07
0.3753061.70315.026217e-07
0.3770511.7025364.518209e-07
0.3788051.701984.007839e-07
0.381.7016063.660100e-07
0.3805671.701433.580271e-07
0.3823371.7008873.331052e-07
0.3841161.7003513.080675e-07
0.3859021.6998222.829133e-07
0.3876971.6992992.576420e-07
0.38951.6987832.322533e-07
0.391.6986412.252200e-07
0.3913121.6982722.157752e-07
0.3931321.6977682.026740e-07
0.3949611.697271.895118e-07
0.3967981.6967791.762884e-07
0.3986441.6962931.630035e-07
0.41.6959411.532400e-07
0.4004981.6958131.518740e-07
0.4023611.6953381.467623e-07
0.4042321.6948691.416267e-07
0.4061121.6944061.364673e-07
0.4080011.6939481.312839e-07
0.4098991.6934961.260764e-07
0.4118061.6930491.208447e-07
0.4137211.6926071.155886e-07
0.4156451.6921711.103081e-07
0.4175791.6917391.050030e-07
0.4195211.6913129.967322e-08
0.421.6912089.835900e-08
0.4214721.6908919.737986e-08
0.4234331.6904749.607619e-08
0.4254021.6900629.476645e-08
0.4273811.6896559.345062e-08
0.4293691.6892529.212868e-08
0.4313661.6888549.080058e-08
0.4333721.688468.946631e-08
0.4353881.6880718.812583e-08
0.4374131.6876878.677911e-08
0.4394481.6873068.542614e-08
0.441.6872048.505900e-08
0.4414921.686938.423053e-08
0.4435451.6865588.309021e-08
0.4456091.686198.194458e-08
0.4476811.6858268.079363e-08
0.4497641.6854677.963732e-08
0.4518561.6851117.847563e-08
0.4539571.6847597.730854e-08
0.4560691.6844117.613602e-08
0.458191.6840677.495805e-08
0.461.6837787.395300e-08
0.4603211.6837277.381712e-08
0.4624621.683397.291154e-08
0.4646131.6830577.200174e-08
0.4667751.6827277.108772e-08
0.4689461.6824017.016944e-08
0.4711271.6820796.924689e-08
0.4733181.681766.832006e-08
0.475521.6814456.738891e-08
0.4777321.6811326.645343e-08
0.4799541.6808246.551359e-08
0.481.6808176.549400e-08
0.4821861.6805186.490824e-08
0.4844291.6802166.430728e-08
0.4866821.6799166.370352e-08
0.4889461.679626.309696e-08
0.491221.6793286.248757e-08
0.4935051.6790386.187535e-08
0.49581.6787516.126029e-08
0.4981071.6784676.064236e-08
0.51.6782376.013500e-08
0.5004231.6781866.003573e-08
0.5027511.6779085.948994e-08
0.5050891.6776335.894162e-08
0.5074391.6773615.839075e-08
0.5097991.6770925.783731e-08
0.512171.6768255.728130e-08
0.5145531.6765615.672271e-08
0.5169461.67635.616151e-08
0.519351.6760415.559771e-08
0.5217661.6757855.503128e-08
0.5241931.6755325.446222e-08
0.5266311.6752815.389051e-08
0.5290811.6750325.331615e-08
0.5315421.6747875.273911e-08
0.5340141.6745435.215939e-08
0.5364981.6743025.157697e-08
0.5389931.6740645.099184e-08
0.54151.6738285.040399e-08
0.5440191.6735944.981340e-08
0.5465491.6733624.922007e-08
0.5490921.6731334.862398e-08
0.551.6730524.841100e-08
0.5516461.6729064.855585e-08
0.5542121.6726814.878170e-08
0.5567891.6724594.900860e-08
0.5593791.6722384.923656e-08
0.5619811.672024.946557e-08
0.5645951.6718044.969565e-08
0.5672211.671594.992680e-08
0.5698591.6713785.015903e-08
0.572511.6711685.039234e-08
0.5751731.670965.062673e-08
0.5778481.6707545.086221e-08
0.5805361.670555.109879e-08
0.5832361.6703485.133646e-08
0.5859491.6701485.157525e-08
0.5886751.6699495.181514e-08
0.5914131.6697535.205615e-08
0.5941641.6695585.229828e-08
0.5969271.6693665.254154e-08
0.5997041.6691755.278593e-08
0.61.6691545.281200e-08
0.6024931.6689855.277081e-08
0.6052961.6687985.272452e-08
0.6081111.6686125.267801e-08
0.610941.6684285.263128e-08
0.6137811.6682465.258433e-08
0.6166361.6680655.253717e-08
0.6195041.6678865.248979e-08
0.6223861.6677095.244219e-08
0.6252811.6675335.239436e-08
0.6281891.6673595.234632e-08
0.6311111.6671865.229805e-08
0.6340471.6670155.224955e-08
0.6369961.6668465.220083e-08
0.6399591.6666785.215188e-08
0.6429351.6665115.210271e-08
0.6459261.6663465.205331e-08
0.648931.6661835.200367e-08
0.651.6661255.198600e-08
0.6519491.6660215.214184e-08
0.6549811.665865.238438e-08
0.6580281.66575.262804e-08
0.6610881.6655425.287283e-08
0.6641631.6653865.311877e-08
0.6672521.6652315.336585e-08
0.6703561.6650775.361407e-08
0.6734741.6649245.386345e-08
0.6766071.6647735.411400e-08
0.6797541.6646235.436570e-08
0.6829151.6644745.461858e-08
0.6860921.6643265.487263e-08
0.6892831.664185.512787e-08
0.6924891.6640355.538429e-08
0.695711.6638915.564191e-08
0.6989461.6637485.590072e-08
0.71.6637025.598500e-08
0.7021971.6636075.601950e-08
0.7054631.6634675.607078e-08
0.7087451.6633275.612229e-08
0.7120411.6631895.617405e-08
0.7153531.6630525.622605e-08
0.7186811.6629165.627829e-08
0.7220231.6627825.633077e-08
0.7253821.6626485.638350e-08
0.7287561.6625155.643647e-08
0.7321461.6623845.648968e-08
0.7355511.6622535.654315e-08
0.7389721.6621235.659686e-08
0.7424091.6619955.665083e-08
0.7458631.6618675.670504e-08
0.7493321.6617415.675951e-08
0.7528171.6616155.681423e-08
0.7563191.661495.686921e-08
0.7598371.6613675.692444e-08
0.7633711.6612445.697993e-08
0.7669221.6611225.703567e-08
0.7704891.6610015.709168e-08
0.7740731.6608815.714794e-08
0.7776731.6607615.720447e-08
0.781291.6606435.726126e-08
0.7849241.6605255.731831e-08
0.7885751.6604095.737563e-08
0.7922431.6602935.743322e-08
0.7959281.6601785.749107e-08
0.799631.6600635.754920e-08
0.81.6600525.755500e-08
0.803351.659955.551538e-08
0.8070861.6598375.324021e-08
0.810841.6597255.095446e-08
0.8146121.6596144.865808e-08
0.8184011.6595044.635101e-08
0.8222081.6593944.403322e-08
0.8260321.6592854.170464e-08
0.8298741.6591773.936524e-08
0.8337341.6590693.701495e-08
0.8376121.6589623.465373e-08
0.8415081.6588563.228153e-08
0.8454221.658752.989829e-08
0.8493551.6586462.750397e-08
0.851.6586282.711100e-08
0.8533051.6585412.674128e-08
0.8572741.6584382.629730e-08
0.8612621.6583352.585127e-08
0.8652681.6582332.540315e-08
0.8692921.6581312.495296e-08
0.8733361.658032.450067e-08
0.8773981.6579292.404627e-08
0.8814791.6578292.358976e-08
0.8855791.657732.313113e-08
0.8896981.6576312.267037e-08
0.8938361.6575332.220746e-08
0.8979941.6574352.174240e-08
0.91.6573882.151800e-08
0.9021711.6573382.124087e-08
0.9063671.6572412.070517e-08
0.9105831.6571452.016698e-08
0.9148181.657051.962629e-08
0.9190731.6569551.908308e-08
0.9233481.656861.853735e-08
0.9276431.6567661.798907e-08
0.9319581.6566721.743825e-08
0.9362931.6565791.688486e-08
0.9406481.6564861.632890e-08
0.9450231.6563941.577035e-08
0.9494191.6563021.520921e-08
0.951.656291.513500e-08
0.9538351.656211.519605e-08
0.9582711.6561191.526668e-08
0.9627291.6560291.533764e-08
0.9672071.6559381.540893e-08
0.9717051.6558491.548055e-08
0.9762251.6557591.555250e-08
0.9807661.655671.562479e-08
0.9853281.6555811.569742e-08
0.9899111.6554931.577038e-08
0.9945151.6554051.584368e-08
0.9991411.6553171.591732e-08
11.6553011.593100e-08
1.003791.655231.599136e-08
1.008461.6551431.606575e-08
1.013151.6550561.614049e-08
1.017861.654971.621558e-08
1.022591.6548841.629101e-08
1.027351.6547981.636680e-08
1.032131.6547121.644293e-08
1.036931.6546271.651943e-08
1.041751.6545421.659628e-08
1.04661.6544571.667348e-08
1.051471.6543731.675105e-08
1.056361.6542881.682897e-08
1.061.6542261.688700e-08
1.061271.6542041.690726e-08
1.066211.6541211.698593e-08
1.071171.6540371.706496e-08
1.076151.6539541.714435e-08
1.081151.6538711.722412e-08
1.086181.6537881.730426e-08
1.091241.6537051.738477e-08
1.096311.6536221.746565e-08
1.101411.653541.754691e-08
1.106531.6534581.762855e-08
1.111681.6533751.771057e-08
1.116851.6532941.779297e-08
1.122051.6532121.787576e-08
1.127271.653131.795892e-08
1.132511.6530491.804248e-08
1.137781.6529671.812642e-08
1.143071.6528861.821076e-08
1.148391.6528051.829549e-08
1.153731.6527241.838061e-08
1.159091.6526431.846612e-08
1.164481.6525621.855204e-08
1.16991.6524811.863835e-08
1.175341.65241.872507e-08
1.180811.6523191.881219e-08
1.18631.6522391.889971e-08
1.191821.6521581.898764e-08
1.197361.6520771.907598e-08
1.21.6520391.911800e-08
1.202931.6519971.916472e-08
1.208531.6519161.925385e-08
1.214151.6518361.934340e-08
1.21981.6517551.943336e-08
1.225471.6516751.952374e-08
1.231171.6515941.961454e-08
1.23691.6515141.970577e-08
1.242651.6514331.979742e-08
1.248431.6513531.988949e-08
1.254241.6512721.998199e-08
1.260071.6511912.007493e-08
1.265931.6511112.016829e-08
1.271821.651032.026209e-08
1.277741.6509492.035633e-08
1.283681.6508682.045101e-08
1.289651.6507872.054612e-08
1.295651.6507062.064168e-08
1.301671.6506252.073768e-08
1.307731.6505442.083413e-08
1.313811.6504622.093103e-08
1.319921.6503812.102837e-08
1.326061.6502992.112617e-08
1.332231.6502172.122443e-08
1.338431.6501352.132314e-08
1.344651.6500532.142231e-08
1.350911.6499712.152195e-08
1.357191.6498892.162204e-08
1.36351.6498062.172260e-08
1.369851.6497232.182363e-08
1.376221.649642.192513e-08
1.382621.6495572.202711e-08
1.389051.6494742.212955e-08
1.395511.649392.223247e-08
1.41.6493322.230400e-08
1.4021.6493072.259142e-08
1.408521.6492232.352812e-08
1.415071.6491382.446918e-08
1.421661.6490542.541462e-08
1.428271.6489692.636445e-08
1.434911.6488842.731870e-08
1.441591.6487992.827739e-08
1.448291.6487142.924054e-08
1.455031.6486283.020816e-08
1.46181.6485423.118029e-08
1.468591.6484553.215694e-08
1.475431.6483693.313814e-08
1.482291.6482823.412389e-08
1.489181.6481943.511424e-08
1.496111.6481073.610918e-08
1.503071.6480193.710876e-08
1.510061.647933.811299e-08
1.517081.6478423.912188e-08
1.524141.6477534.013547e-08
1.531231.6476634.115378e-08
1.538351.6475734.217682e-08
1.545511.6474834.320462e-08
1.55271.6473934.423720e-08
1.559921.6473024.527458e-08
1.567171.647214.631679e-08
1.574461.6471184.736384e-08
1.581791.6470264.841577e-08
1.589141.6469344.947258e-08
1.596541.646845.053432e-08
1.61.6467975.103200e-08
1.603961.6467475.517441e-08
1.611421.6466536.297621e-08
1.618921.6465587.081430e-08
1.626451.6464637.868885e-08
1.634011.6463688.660002e-08
1.641611.6462729.454799e-08
1.649251.6461751.025329e-07
1.656921.6460781.105550e-07
1.664631.645981.186144e-07
1.672371.6458821.267113e-07
1.680151.6457831.348458e-07
1.687961.6456841.430182e-07
1.695811.6455841.512286e-07
1.70371.6454841.594772e-07
1.711631.6453831.677641e-07
1.719591.6452811.760896e-07
1.727591.6451791.844538e-07
1.735621.6450761.928569e-07
1.743691.6449732.012991e-07
1.751811.6448692.097806e-07
1.759951.6447642.183015e-07
1.768141.6446592.268621e-07
1.776361.6445532.354625e-07
1.784631.6444462.441029e-07
1.792931.6443392.527834e-07
1.81.6442472.601800e-07
1.801271.6442312.613946e-07
1.809641.6441222.694298e-07
1.818061.6440122.775023e-07
1.826521.6439022.856125e-07
1.835011.6437912.937603e-07
1.843551.6436793.019460e-07
1.852121.6435673.101698e-07
1.860741.6434533.184319e-07
1.869391.6433393.267324e-07
1.878091.6432243.350715e-07
1.886821.6431093.434494e-07
1.89561.6429923.518663e-07
1.904421.6428753.603223e-07
1.913281.6427573.688176e-07
1.922181.6426383.773525e-07
1.931121.6425183.859270e-07
1.94011.6423973.945414e-07
1.949121.6422754.031960e-07
1.958191.6421534.118907e-07
1.96731.6420294.206259e-07
1.976451.6419054.294017e-07
1.985641.6417794.382184e-07
1.994881.6416534.470761e-07
21.6415834.519900e-07
2.004161.6415264.643308e-07
2.013481.6413974.920175e-07
2.022841.6412685.198331e-07
2.032251.6411385.477780e-07
2.04171.6410065.758529e-07
2.05121.6408746.040584e-07
2.060741.6407416.323951e-07
2.070331.6406066.608636e-07
2.079961.6404716.894645e-07
2.089631.6403347.181984e-07
2.099351.6401967.470660e-07
2.109121.6400587.760679e-07
2.118931.6399188.052046e-07
2.128781.6397768.344769e-07
2.138681.6396348.638854e-07
2.148631.6394918.934306e-07
2.158621.6393469.231132e-07
2.168671.63929.529340e-07
2.178751.6390539.828934e-07
2.188891.6389051.012992e-06
2.199071.6387551.043231e-06
2.21.6387421.046000e-06
2.20931.6386051.104831e-06
2.219571.6384531.169864e-06
2.22991.6382991.235199e-06
2.240271.6381441.300838e-06
2.250691.6379881.366783e-06
2.261161.6378311.433034e-06
2.271671.6376721.499593e-06
2.282241.6375121.566462e-06
2.292861.6373511.633642e-06
2.303521.6371881.701134e-06
2.314241.6370231.768941e-06
2.3251.6368571.837063e-06

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—